Turbulent radial thermal counterflow in the framework of the HVBK model
Abstract
We apply the coarse-grained Hall-Vinen-Bekarevich-Khalatnikov (HVBK) equations to model the statistically steady-state, turbulent, cylindrically symmetric radial counterflow generated by a moderately large heat flux from the surface of a cylinder immersed in superfluid 4He. We show that a time-independent solution exists only if a spatial non-uniformity of temperature and the dependence on temperature of the thermodynamic properties are accounted for. We demonstrate the formation of a thermal boundary layer whose thickness grows with temperature of the cylinder's surface, and analyze the properties of the flow in the radial direction, including the local average vortex line density.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- October 2019
- DOI:
- 10.1209/0295-5075/128/26001
- arXiv:
- arXiv:1907.06252
- Bibcode:
- 2019EL....12826001S
- Keywords:
-
- 67.25.dk;
- 67.25.dm;
- 47.37.+q;
- Condensed Matter - Other Condensed Matter;
- Physics - Fluid Dynamics
- E-Print:
- 7 pages, 6 figures